On the Constant in a Transference Inequality for the Vector-valued Fourier Transform

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On the Constant in a Transference Inequality for the Vector-valued Fourier Transform

Journal Article (2016)

Author(s)

Dion Gijswijt (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Jan van Neerven (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Discrete Mathematics and Optimization

Hausdorff-Young inequality 42B10 (46B20, 46E40)

URL related publication

http://ajmaa.org/cgi-bin/paper.pl?string=v13n1/V13I1P2.tex

To reference this document use

https://resolver.tudelft.nl/uuid:d93d4879-224f-40b2-b7a3-621120bceb16

More Info

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Publication Year

2016

Language

English

Research Group

Discrete Mathematics and Optimization

Issue number

1

Volume number

13

Article number

2

Pages (from-to)

1-11

Downloads counter

130

Abstract

The standard proof of the equivalence of Fourier type on Rd and on the torus Td is usually stated in terms of an implicit constant, defined as the minimum of a sum of powers of sinc functions. In this note we compute this minimum explicitly.